Pith Number

pith:77AGJYY3

pith:2016:77AGJYY3FHBWHFWSCZGJA6XL7N

not attested not anchored not stored refs pending

Polynomials with rational generating functions and real zeros

Khang Tran, Tamas Forgacs

arxiv:1601.02582 v1 · 2016-01-11 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77AGJYY3FHBWHFWSCZGJA6XL7N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:11:54.798910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc064e31b29c36396d2164c907aebfb688c424cde72fb71095cbd8646ede575

Aliases

arxiv: 1601.02582 · arxiv_version: 1601.02582v1 · doi: 10.48550/arxiv.1601.02582 · pith_short_12: 77AGJYY3FHBW · pith_short_16: 77AGJYY3FHBWHFWS · pith_short_8: 77AGJYY3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/77AGJYY3FHBWHFWSCZGJA6XL7N \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ffc064e31b29c36396d2164c907aebfb688c424cde72fb71095cbd8646ede575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1d416b57ae3af1c1046d5aa66f35b7360c8222e7c5098acbe12088fc0f5636",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-11T20:28:41Z",
    "title_canon_sha256": "fd7124804e935c4fcb0ccdd350b99ef7aec374c61bd93ad9eef3276516a66d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02582",
    "kind": "arxiv",
    "version": 1
  }
}